Abstract
An important input-output description of a linear discrete-time system is its (discrete-time) impulse response (or pulse response), which is the response h(k, k 0) to a discrete impulse applied at time k 0. In time-invariant systems that are also causal and at rest at time zero, the impulse response is h(k, 0), and its z-transform is the transfer function of the system. Expressions for h(k, k 0) when the system is described by state variable equations are derived.
Bibliography
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© 2014 Springer-Verlag London
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Antsaklis, P.J. (2014). Linear Systems: Discrete-Time Impulse Response Descriptions. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_189-1
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DOI: https://doi.org/10.1007/978-1-4471-5102-9_189-1
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Publisher Name: Springer, London
Online ISBN: 978-1-4471-5102-9
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